2000/05/13 by P. Akueson, Akueson, P.
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA
paper · pdf · doi:10.48550/arxiv.math/0005135
30 pages, Latex. To appear in Cahiers de topologie et géométrie différentielle catégorique
arxiv created 2000/05/13 · openalex publication_date 2000/05/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce the tangent space on a quantum hyperboloid. We define an action of this tangent space on the corresponding "quantum function space" \cal A, what converts the elements of the tangent space into "braided vector fields". The tangent space is shown to be a projective \cal A-module and we define a quantum (pseudo)metric and a quantum connection (partially defined) on it.